GCD of 560, 301, 338 Calculator

Given Input numbers are 560, 301, 338

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 560, 301, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 301, 338 is 1.

Therefore, GCD of numbers 560, 301, 338 is 1

Given Input Data is 560, 301, 338

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 301 is 7 x 43

Prime Factorization of 338 is 2 x 13 x 13

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(560, 301) = 24080

GCD(560, 301) = ( 560 x 301 ) / 24080

GCD(560, 301) = 168560 / 24080

GCD(560, 301) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 338

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(7, 338) = 2366

GCD(7, 338) = ( 7 x 338 ) / 2366

GCD(7, 338) = 2366 / 2366

GCD(7, 338) = 1

GCD of 560, 301, 338 is 1

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1. What is the GCD of 560, 301, 338?

GCD of 560, 301, 338 is 1

2. Where do I get the detailed procedure to find GCD of 560, 301, 338?

You can find a detailed procedure to find GCD of 560, 301, 338 on our page.

3. How to find GCD of 560, 301, 338 on a calculator?

You can find the GCD of 560, 301, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.